Gamma Function
Calculates the value of the gamma function Γ(a).
| \(\normalsize Gamma\ function\ \Gamma(a)\\ (1)\ \Gamma(a)= {\large\int_{\tiny 0}^ {\tiny \infty}}t^{a-1}e^{-t}dt, Re(a)\gt 0\\ (2)\ \Gamma(a)={\large\frac{\Gamma(a+1)}{a}}, \Gamma(a)\Gamma(1-a)={\large\frac{\pi}{\sin(\pi a)}}\\ (3)\ \Gamma(n+1)=n!, \Gamma({\large\frac{1}{2}})={\large\sqrt{\pi}}\\\) |
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